Top 10 Engineering colleges in karantaka according to careers360 are
1 Manipal Institute of Technology, Manipal
2 National Institute of Technology Karnataka Surathkal
3 BMS College of Engineering, Bangalore
4 International Institute of Information Technology Bangalore
5 Ramaiah Institute of Technology, Bangalore
6 RV College of Engineering, Bangalore
7 Bangalore Institute of Technology, Bangalore
8 BMS Institute of Technology and Management, Bangalore
9 Dayananda Sagar College of Engineering, Bangalore
10 KLE Technological University, Hubli

All the best......

Hello Dear,

there are many colleges in Karnakata they offer engineering courses. some top are:
1.BMS college

2.Manipal Institute of technology

3.NIT Surthkal

4.Ramaiah Institute of technology

5.RV college of engineering

6.PES University, Bangalore

7.BIT Banglore

etc.

check it out full list of colleges:
https://engineering.careers360.com/colleges/ranking/2017/top-engineering-colleges-in-karnataka

good luck

Hey just go through the link below in order.
https://engineering.careers360.com/colleges/ranking/2017/top-engineering-colleges-in-karnataka
Tq for ur approach.